Problem Statement:
The task is to solve the given problem related to the map of the world, specifically focusing on latitude and longitude. The problem asks:
>
Q1. How many miles does it take for the Prime Meridian (0°) to appear twice on the map?
---
Solution Explanation:
#### Step 1: Understanding Latitude and Longitude
-
Latitude: Lines that run parallel to the equator. They measure positions north or south of the equator.
-
Longitude: Lines that run perpendicular to the equator, converging at the North and South Poles. They measure positions east or west of the Prime Meridian (0°).
The Prime Meridian is the line of longitude at 0°, which passes through Greenwich, England. It is used as the reference point for measuring longitude.
#### Step 2: Observing the Map
On a world map, the Prime Meridian (0° longitude) appears once as it runs from the North Pole to the South Pole. However, due to the nature of maps and the Earth's spherical shape, the Prime Meridian can appear "twice" if we consider the full 360° range of longitude.
- The Earth is divided into 360 degrees of longitude, ranging from 0° to 180° East and 0° to 180° West.
- The Prime Meridian (0°) is the starting point for measuring longitude.
- On a map, the Prime Meridian appears once as it runs vertically through the center of the map.
#### Step 3: Considering the Full Globe
When you travel around the Earth along the Prime Meridian, you will eventually return to the same point after traveling a full circle. This means the Prime Meridian effectively "appears twice" when considering the entire circumference of the Earth.
#### Step 4: Calculating the Circumference of the Earth
To determine how many miles it takes for the Prime Meridian to appear "twice," we need to calculate the circumference of the Earth along a meridian (a line of longitude). This is known as the
meridional circumference.
The formula for the circumference of a circle is:
\[
\text{Circumference} = 2 \pi r
\]
where \( r \) is the radius of the Earth.
The average radius of the Earth is approximately:
\[
r \approx 3,959 \text{ miles}
\]
Using this value:
\[
\text{Circumference} = 2 \pi \times 3,959 \approx 2 \times 3.1416 \times 3,959 \approx 24,901 \text{ miles}
\]
#### Step 5: Interpreting the Question
The question asks how many miles it takes for the Prime Meridian to appear "twice." This refers to traveling the full circumference of the Earth along the Prime Meridian, which is the distance required to complete one full loop around the Earth.
#### Final Answer:
\[
\boxed{24901}
\]
This is the approximate distance in miles it takes for the Prime Meridian to appear "twice" on the map, representing a full journey around the Earth along a meridian.
Parent Tip: Review the logic above to help your child master the concept of latitude and longitude worksheet answer key.